The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative

Autor: Takiko Ssasaki, Shu Takamatsu, Hiroyuki Takamura
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 11, Pp 25477-25486 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231300?viewType=HTML
Popis: This paper is devoted to the lifespan estimates of small classical solutions of the initial value problems for one dimensional wave equations with semilinear terms of the spatial derivative of the unknown function. It is natural that the result is same as the one for semilinear terms of the time-derivative. But there are so many differences among their proofs. Moreover, it is meaningful to study this problem in the sense that it may help us to investigate its blow-up boundary in the near future.
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